Volatility Skew Calculator

Analyze implied volatility differences across strike prices to understand market pricing of tail risk and identify skew-based trading opportunities.

MT
Written by Michael Torres, CFA
Senior Financial Analyst
JW
Fact-checked by Dr. James Wilson, PhD
Options Strategy Researcher
Advanced OptionsFact-Checked

Input Values

$

Current price.

%

Annualized IV.

%

IV of the 25-Delta OTM put.

%

IV of the 25-Delta OTM call.

days

Days until expiration.

Results

Skew (Put IV - Call IV)
0.00%
Skew Ratio
0.00
Put Skew Premium0.00%
Call Skew Discount0.00%
Risk Reversal0.00%
Market Sentiment0
Results update automatically as you change input values.

What Is Volatility Skew?

Volatility skew describes the pattern of implied volatility across different strike prices for the same expiration date. In equity markets, OTM puts typically have higher IV than ATM options, which in turn have higher IV than OTM calls. This creates a downward-sloping IV curve called the volatility skew or smirk. The skew reflects the market's fear of downside crashes and the demand for protective puts.

Volatility skew emerged prominently after the 1987 stock market crash (Black Monday). Before 1987, the IV curve was relatively flat across strikes. After the crash, the market permanently priced in higher IV for OTM puts to account for crash risk. This skew persists today and is a fundamental feature of equity option pricing. Understanding skew helps traders price risk more accurately and identify relative value opportunities.

i
Why Skew Exists

Demand and supply: institutional investors buy OTM puts for portfolio insurance, driving up their IV. Supply and demand: fewer traders sell OTM puts (crash risk), limiting supply. Risk compensation: sellers of OTM puts demand higher IV to compensate for fat-tail crash risk. All these factors create the persistent negative skew in equity markets.

Skew Metrics

Skew Value
Skew = 25-Delta Put IV - 25-Delta Call IV
Where:
Positive skew = Normal; puts more expensive than calls (downside fear)
Zero skew = Flat; equal pricing for puts and calls
Negative skew = Unusual; calls more expensive than puts (upside excitement)
Skew Ratio
Skew Ratio = 25-Delta Put IV / 25-Delta Call IV
Where:
> 1.0 = Normal equity skew (puts relatively expensive)
= 1.0 = Flat skew (no directional premium)
< 1.0 = Reverse skew (calls expensive, common in commodities)
Skew Analysis Example
Given
ATM IV
30%
25-Delta Put IV
35%
25-Delta Call IV
27%
Stock
$100
Calculation Steps
  1. 1Skew = 35% - 27% = 8 percentage points
  2. 2Skew ratio = 35% / 27% = 1.30
  3. 3Put skew premium over ATM = 35% - 30% = +5%
  4. 4Call skew discount vs ATM = 27% - 30% = -3%
  5. 5Risk reversal = call IV - put IV = 27% - 35% = -8%
  6. 6Interpretation: moderate negative skew, typical for equities
  7. 7Put sellers receive 5% IV premium over ATM for crash protection
Result
This stock has a typical equity skew with puts priced 8% higher IV than same-distance calls. Put sellers earn a 5% IV premium over ATM, compensating them for crash risk. The skew ratio of 1.30 is within normal range for US equities.
Typical Skew Levels by Asset Class
Asset ClassSkew DirectionTypical SkewReason
US Equities (SPX)Negative (put heavy)5-12%Crash protection demand
Individual StocksNegative (variable)3-15%Stock-specific risk, hedging
CommoditiesPositive (call heavy)-3 to -8%Supply shock fears (upside)
CurrenciesMixedVariableDepends on pair dynamics
Pre-Earnings StocksSteeper negative10-20%Event risk, tail hedging

Trading the Skew

1
Sell Put Spreads for Skew Premium
Because OTM puts have inflated IV due to skew, selling put spreads captures a statistical premium. The put you sell has higher IV than the put you buy further OTM, giving you a volatility edge.
2
Risk Reversal Strategy
Sell an OTM put and buy an OTM call at the same distance from ATM. Because the put has higher IV, you collect net premium for a bullish position. This exploits skew directly.
3
Monitor Skew Changes
Steepening skew (puts getting relatively more expensive) indicates rising fear. Flattening skew suggests complacency. Track skew levels over time to identify extremes.
4
Skew and Earnings
Before earnings, skew often steepens as investors buy protective puts. After earnings, skew typically flattens. Consider selling put skew before earnings if IV rank is high.
  • Skew is persistent in equity markets since the 1987 crash
  • Higher skew means greater crash protection demand (more fear)
  • Skew tends to increase during market selloffs and VIX spikes
  • Individual stock skew varies by sector, event risk, and flow patterns
  • Skew creates a systematic premium for put sellers (volatility risk premium)
~
Skew Percentile

Track skew relative to its own history. If current skew is in the 90th percentile (steeper than 90% of readings in the past year), puts are very expensive relative to calls. This favors put-selling strategies. If skew is in the 10th percentile (flat), puts are cheap and may be good to buy for protection.

!
Skew Is Not Free Money

While selling skew (selling expensive OTM puts) has a statistical edge, the risk is that skew exists for a reason: crashes happen. The premium earned from selling puts is compensation for the risk of a large, sudden downside move. One crash event can erase years of skew premium collection.

Frequently Asked Questions

OTM puts are more expensive (higher IV) because of demand from institutional investors buying portfolio insurance, the risk of market crashes (fat tail risk on the downside), and limited supply of sellers willing to take crash risk. Since the 1987 crash, the market has permanently priced in higher IV for downside protection. This creates the characteristic negative volatility skew.

Sources & References

  • U.S. Securities and Exchange Commission (SEC) - Investor Education
  • Options Clearing Corporation (OCC) - Options Education
  • Chicago Board Options Exchange (CBOE) - Options Strategies
  • Hull, J.C. "Options, Futures, and Other Derivatives" (11th Edition, 2021)

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